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2023296 = 27311479
BaseRepresentation
bin111101101111110000000
310210210102220
413231332000
51004221141
6111211040
723124552
oct7557600
93723386
102023296
111162150
12816a80
1355ac22
143a94d2
1529e766
hex1edf80

2023296 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 611840.

The previous prime is 2023283. The next prime is 2023297. The reversal of 2023296 is 6923202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3985 + ... + 4463.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22023296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2023296 is an abundant number, since it is smaller than the sum of its proper divisors (3851904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023296 is a wasteful number, since it uses less digits than its factorization.

2023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2023296 is about 1422.4260964985. The cubic root of 2023296 is about 126.4794031884.

Adding to 2023296 its reverse (6923202), we get a palindrome (8946498).

The spelling of 2023296 in words is "two million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 479 528 704 958 1056 1408 1437 1916 2112 2874 3832 4224 5269 5748 7664 10538 11496 15328 15807 21076 22992 30656 31614 42152 45984 61312 63228 84304 91968 126456 168608 183936 252912 337216 505824 674432 1011648 2023296